aboutsummaryrefslogtreecommitdiffhomepage
path: root/theories/ZArith/Zcompare.v
Commit message (Collapse)AuthorAge
* CompareSpec: a slight generalization/reformulation of CompSpecGravatar letouzey2011-03-17
| | | | | | | | | | | | | | | | | | | CompareSpec expects 3 propositions Peq Plt Pgt instead of 2 relations eq lt and 2 points x y. For the moment, we still always use (Peq=eq x y), (Plt=lt x y) (Pgt=lt y x), but this may not be always the case, especially for Pgt. The former CompSpec is now defined in term of CompareSpec. Compatibility is preserved (except maybe a rare unfold or red to break the CompSpec definition). Typically, CompareSpec looks nicer when we have infix notations, e.g. forall x y, CompareSpec (x=y) (x<y) (y<x) (x?=x) while CompSpec is shorter when we directly refer to predicates: forall x y, CompSpec eq lt x y (compare x y) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13914 85f007b7-540e-0410-9357-904b9bb8a0f7
* Some more revision of {P,N,Z}Arith + bitwise ops in NdigitsGravatar letouzey2010-11-18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Initial plan was only to add shiftl/shiftr/land/... to N and other number type, this is only partly done, but this work has diverged into a big reorganisation and improvement session of PArith,NArith,ZArith. Bool/Bool: add lemmas orb_diag (a||a = a) and andb_diag (a&&a = a) PArith/BinPos: - added a power function Ppow - iterator iter_pos moved from Zmisc to here + some lemmas - added Psize_pos, which is 1+log2, used to define Nlog2/Zlog2 - more lemmas on Pcompare and succ/+/* and order, allow to simplify a lot some old proofs elsewhere. - new/revised results on Pminus (including some direct proof of stuff from Pnat) PArith/Pnat: - more direct proofs (limit the need of stuff about Pmult_nat). - provide nicer names for some lemmas (eg. Pplus_plus instead of nat_of_P_plus_morphism), compatibility notations provided. - kill some too-specific lemmas unused in stdlib + contribs NArith/BinNat: - N_of_nat, nat_of_N moved from Nnat to here. - a lemma relating Npred and Nminus - revised definitions and specification proofs of Npow and Nlog2 NArith/Nnat: - shorter proofs. - stuff about Z_of_N is moved to Znat. This way, NArith is entirely independent from ZArith. NArith/Ndigits: - added bitwise operations Nand Nor Ndiff Nshiftl Nshiftr - revised proofs about Nxor, still using functional bit stream - use the same approach to prove properties of Nand Nor Ndiff ZArith/BinInt: huge simplification of Zplus_assoc + cosmetic stuff ZArith/Zcompare: nicer proofs of ugly things like Zcompare_Zplus_compat ZArith/Znat: some nicer proofs and names, received stuff about Z_of_N ZArith/Zmisc: almost empty new, only contain stuff about badly-named iter. Should be reformed more someday. ZArith/Zlog_def: Zlog2 is now based on Psize_pos, this factorizes proofs and avoid slowdown due to adding 1 in Z instead of in positive Zarith/Zpow_def: Zpower_opt is renamed more modestly Zpower_alt as long as I dont't know why it's slower on powers of two. Elsewhere: propagate new names + some nicer proofs NB: Impact on compatibility is probably non-zero, but should be really moderate. We'll see on contribs, but a few Require here and there might be necessary. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13651 85f007b7-540e-0410-9357-904b9bb8a0f7
* Updated all headers for 8.3 and trunkGravatar herbelin2010-07-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
* ZBinary (impl of Numbers via Z) reworked, comes earlier, subsumes ZOrderedTypeGravatar letouzey2010-02-09
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12714 85f007b7-540e-0410-9357-904b9bb8a0f7
* Better visibility of the inductive CompSpec used to specify comparison functionsGravatar letouzey2009-11-03
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix the stdlib doc compilation + switch all .v file to utf8Gravatar letouzey2009-09-28
| | | | | | | | | | | | | | | | | | | 1) compilation of Library.tex was failing on a "Ext_" in Diaconescu.v In fact coqdoc was trying to recognize the end of a _emphasis_ and hence inserted a bogus }. For the moment I've enclosed the phrase with [ ], but this emphasis "feature" of coqdoc seems _really_ easy to broke. Matthieu ? 2) By the way, this Library document was made from latin1 and utf8 source file, hence bogus characters. All .v containing special characters are converted to utf8, and their first line is now mentionning this. (+ killed some old french comments and some other avoidable special characters). PLEASE: let's stick to this convention and avoid latin1, at least in .v files. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12363 85f007b7-540e-0410-9357-904b9bb8a0f7
* Delete trailing whitespaces in all *.{v,ml*} filesGravatar glondu2009-09-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
* OrderedTypeEx.N_as_OT use Nlt, various minor improvements in N/ZArithGravatar letouzey2009-07-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12250 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix bug #1899: no more strange notations for Qge and QgtGravatar letouzey2008-07-04
| | | | | | | | | | | | | | In fact, Qge and Ggt disappear, and we only leave notations for > and >= that map directly to Qlt and Qle. We also adopt the same approach for BigN, BigZ, BigQ. By the way, various clean-up concerning Zeq_bool, Zle_bool and similar functions for Q. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11205 85f007b7-540e-0410-9357-904b9bb8a0f7
* Mise en forme des theoriesGravatar notin2006-10-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9245 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Déplacement des types paramétriques prod, sum, option, identity,Gravatar herbelin2006-05-28
| | | | | | | | | | | sig, sig2, sumor, list et vector dans Type - Branchement de prodT/listT vers les nouveaux prod/list - Abandon sigS/sigS2 au profit de sigT et du nouveau sigT2 - Changements en conséquence dans les théories (notamment Field_Tactic), ainsi que dans les modules ML Coqlib/Equality/Hipattern/Field git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8866 85f007b7-540e-0410-9357-904b9bb8a0f7
* Nouvelle en-têteGravatar herbelin2004-07-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 85f007b7-540e-0410-9357-904b9bb8a0f7
* modif existentielle (exists | --> exists ,) + bug d'affichage des pt fixesGravatar barras2003-12-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5099 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states ↵Gravatar herbelin2003-11-29
| | | | | | par les fichiers nouvelle syntaxe git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
* Simplification; ajout Zcompare_antisymGravatar herbelin2003-11-21
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4965 85f007b7-540e-0410-9357-904b9bb8a0f7
* Restructuration ZArithGravatar herbelin2003-11-12
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4879 85f007b7-540e-0410-9357-904b9bb8a0f7